Discontinuous Galerkin immersed finite volume element method for anisotropic flow models in porous medium
type: Item
instance of: scholarly article
title: Discontinuous Galerkin immersed finite volume element method for anisotropic flow models in porous medium
zbMATH Open document ID: 1474.76040
DOI: 10.1155/2014/520404
author: Zhongyan Liu
author: Huanzhen Chen
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: By choosing the trial function space to the immersed finite element space and the test function space to be piecewise constant function space, we develop a discontinuous Galerkin immersed finite volume element method to solve numerically a kind of anisotropic diffusion models governed by the elliptic interface problems with discontinuous tensor-conductivity. The existence and uniqueness of the discrete scheme are proved, and an optimal-order energy-norm estimate and \(L^2\)-norm estimate for the numerical solution are derived.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 7022544
Wikidata QID: Q59039096
describes a project that uses: IIMPACK
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/520404
OpenAlex ID: W2087695635
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description: scientific article; zbMATH DE number 7022544